منابع مشابه
Sharp Morawetz Estimates
We prove sharp Morawetz estimates – global in time with a singular weight in the spatial variables – for the linear wave, Klein–Gordon and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.
متن کاملImproved almost Morawetz estimates for the cubic nonlinear Schrödinger equation
We prove global well-posedness for the cubic, defocusing, nonlinear Schrödinger equation on R2 with data u0 ∈ H s(R2), s > 1/4. We accomplish this by improving the almost Morawetz estimates in [9].
متن کاملMorawetz Estimates for the Wave Equation at Low Frequency
We consider Morawetz estimates for weighted energy decay of solutions to the wave equation on scattering manifolds (i.e., those with large conic ends). We show that a Morawetz estimate persists for solutions that are localized at low frequencies, independent of the geometry of the compact part of the manifold. We further prove a new type of Morawetz estimate in this context, with both hypothese...
متن کاملOrthogonal Polynomials and Sharp Strichartz Estimates
Orthogonal polynomials have been used to produce sharp estimates in Harmonic Analysis in several instances. The first most notorious and original use was in Beckner’s thesis [1], where he proved the sharp Hausdorff-Young inequality using Hermite polynomial expansions. More recently, Foschi [4] used spherical harmonics and Gegenbauer polynomials in his proof of the sharp Tomas-Stein adjoint Four...
متن کاملSharp Probability Estimates for Generalized Smirnov Statistics
We give sharp, uniform estimates for the probability that the empirical distribution function for n uniform-[0, 1] random variables stays to one side of a given line.
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2013
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-013-0031-0